Use de Moivre’s theorem to show that, (sin(x))^5 = A sin(5x) + Bsin(3x) + Csin(x), where A , B and C are constants to be found.

State de Moivre's theorem. Use n =5 and solve. I'll show this on the whiteboard.

RM

Related Further Mathematics A Level answers

All answers ▸

Find the GS to the following 2nd ODE: d^2y/dx^2 + 3(dy/dx) + 2 = 0


Prove that (AB)^-1 = B^-1 A^-1


how do I do proofs by induction?


It is given that f(x) = 2sinhx+3coshx. Show that the curve y = f(x) has a stationary point at x =-½ ln(5) and find the value of y at this point. Solve the equation f(x) = 5, giving your answers exactly